(a)State the null hypothesis H0 and the alternative hypothesis H1.H0:H1:(b)Determine the type of test statistic to use. ▼(Choose one) (c)Find the value of the test statistic. (Round to three or more decimal places.) (d)Find the critical value at the 0.1 level of significance. (Round to three or more decimal places.) (e)Can we reject the claim that the mean annual income of teachers from Arizona is greater than or equal to the mean annual income of teachers from Nevada? Yes No Past records suggest that the mean annual income, l1, of teachers in the state of Arizona is greater than or equal to the mean annual income, l, of teachers inNevada. In a current study, a random sample of 20 teachers from Arizona and an independent random sample of 20 teachers from Nevada have been asked toreport their mean annual income. The data obtained are as follows.Annual income in dollars38014, 42255, 40176, 28386, 23727, 42688, 38470, 35562, 36254, 35637, 44995, 41136, 36346, 31201, 34102, 43877, 43721, 42003,Arizona45727, 4088249697, 44832, 34273, 49525, 45103, 32198, 54137, 51345, 41266, 47281, 33363, 40889, 47776, 43971, 37751, 41158, 36213, 39460,Nevada38368, 51633Send data to calculatorSend data to ExcelThe population standard deviation for mean annual income of teachers in Arizona and in Nevada are estimated as 6300 and 6500, respectively. It is also knownthat both populations are approximately normally distributed. At the 0.1 level of significance, is there sufficient evidence to reject the claim that the meanannual income of teachers in the state of Arizona is greater than or equal to the mean annual income of teachers in Nevada? Perform a one-tailed test. Thencomplete the parts below.Carry your intermediate computations to at least three decimal places. (If necessary, consult a list of formulas.)

Name: (a)State the null hypothesis H0 and the alternative hypothesis H1.H0:H
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Description: (a)State the null hypothesis H0 and the alternative hypothesis H1.H0:H1:(b)Determine the type of test statistic to use. ▼(Choose one) (c)Find the value of the test statistic. (Round to three or more decimal places.) (d)Find the critical value at the

Null Hypothesis: A hypothesis which is tested for plausible rejection is called the Null Hypothesis…

Answered: (a) State the null hypothesis H0 and…

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(a)	State the null hypothesis H0 and the alternative hypothesis H1 .
H0:
H1:
(b)	Determine the type of test statistic to use.
	▼(Choose one)
(c)	Find the value of the test statistic. (Round to three or more decimal places.)

(d)	Find the critical value at the 0.1 level of significance. (Round to three or more decimal places.)

(e)	Can we reject the claim that the mean annual income of teachers from Arizona is greater than or equal to the mean annual income of teachers from Nevada?
Yes No

Past records suggest that the mean annual income, l1, of teachers in the state of Arizona is greater than or equal to the mean annual income, l, of teachers in
Nevada. In a current study, a random sample of 20 teachers from Arizona and an independent random sample of 20 teachers from Nevada have been asked to
report their mean annual income. The data obtained are as follows.
Annual income in dollars
38014, 42255, 40176, 28386, 23727, 42688, 38470, 35562, 36254, 35637, 44995, 41136, 36346, 31201, 34102, 43877, 43721, 42003,
Arizona
45727, 40882
49697, 44832, 34273, 49525, 45103, 32198, 54137, 51345, 41266, 47281, 33363, 40889, 47776, 43971, 37751, 41158, 36213, 39460,
Nevada
38368, 51633
Send data to calculator
Send data to Excel
The population standard deviation for mean annual income of teachers in Arizona and in Nevada are estimated as 6300 and 6500, respectively. It is also known
that both populations are approximately normally distributed. At the 0.1 level of significance, is there sufficient evidence to reject the claim that the mean
annual income of teachers in the state of Arizona is greater than or equal to the mean annual income of teachers in Nevada? Perform a one-tailed test. Then
complete the parts below.
Carry your intermediate computations to at least three decimal places. (If necessary, consult a list of formulas.)

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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